42745790250 has 384 divisors, whose sum is σ = 127111892544. Its totient is φ = 10321920000.

The previous prime is 42745790207. The next prime is 42745790251. The reversal of 42745790250 is 5209754724.

42745790250 is a `hidden beast` number, since 4 + 2 + 74 + 579 + 0 + 2 + 5 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 16716162681 + 26029627569 = 129291^2 + 161337^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42745790196 and 42745790205.

It is not an unprimeable number, because it can be changed into a prime (42745790251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152120110 + ... + 152120390.

Almost surely, 2^42745790250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42745790250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63555946272).

42745790250 is an abundant number, since it is smaller than the sum of its proper divisors (84366102294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42745790250 is a wasteful number, since it uses less digits than its factorization.

42745790250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 42745790250 in words is "forty-two billion, seven hundred forty-five million, seven hundred ninety thousand, two hundred fifty".